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Finding the Fourth Proportional to 315,297,294.82, 435,101,836.93 and 174,165,477.71

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Solution

The fourth proportional to 315,297,294.82, 435,101,836.93 and 174,165,477.71 is: 240,343,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,297,294.82 : 435,101,836.93 = 174,165,477.71 : x
  2. Step 2: Convert to fraction form
    315,297,294.82/435,101,836.93 = 174,165,477.71/x
  3. Step 3: Cross multiply
    315,297,294.82x = 435,101,836.93 × 174,165,477.71
  4. Step 4: Simplify right side
    315,297,294.82x = 75,779,719,279,888,800
  5. Step 5: Solve for x
    x = 75,779,719,279,888,800/315,297,294.82
  6. Step 6: Final answer
    x = 240,343,702.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.